TABLE 11-3 As Part of an Evaluation Program, a Sporting Goods Retailer

question 91

True/False

TABLE 11-3
As part of an evaluation program, a sporting goods retailer wanted to compare the downhill coasting speeds of 4 brands of bicycles. She took 3 of each brand and determined their maximum downhill speeds. The results are presented in miles per hour in the table below.
Trial Barth Tornado Reiser Shaw
1 43 37 41 43
2 46 38 45 45
3 43 39 42 46
-Referring to Table 11-3, the test is less sensitive to the assumption that the population of speeds has the same variance for the 4 brands because the sample sizes of the 4 brands are equal.

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Definitions:

F Statistic

A ratio used in statistical analysis to determine the relationship between variances and to test hypotheses about the means of several populations.

Alternative Hypothesis

In statistical hypothesis testing, it is the hypothesis that suggests there is a difference or effect, in contrast to the null hypothesis which suggests no effect or difference.

Population Mean

The average characteristic or measure of a total population, representing a central or typical value of the population data.

Common Standard Deviation

A measure used in the context of comparing groups that assumes all groups have the same standard deviation, often used in analyses such as ANOVA.